14257790016 has 224 divisors, whose sum is σ = 40153669248. Its totient is φ = 4459069440.

The previous prime is 14257790011. The next prime is 14257790033. The reversal of 14257790016 is 61009775241.

It is a happy number.

It is a super-2 number, since 2×14257790016² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14257790016.

It is not an unprimeable number, because it can be changed into a prime (14257790011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24709920 + ... + 24710496.

It is an arithmetic number, because the mean of its divisors is an integer number (179257452).

Almost surely, 2^14257790016 is an apocalyptic number.

14257790016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14257790016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20076834624).

14257790016 is an abundant number, since it is smaller than the sum of its proper divisors (25895879232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14257790016 is a wasteful number, since it uses less digits than its factorization.

14257790016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 14257790016 in words is "fourteen billion, two hundred fifty-seven million, seven hundred ninety thousand, sixteen".